1601558728704 has 520 divisors, whose sum is σ = 5330876842368. Its totient is φ = 474943979520.

The previous prime is 1601558728681. The next prime is 1601558728709. The reversal of 1601558728704 is 4078278551061.

1601558728704 is a `hidden beast` number, since 1 + 6 + 0 + 1 + 558 + 7 + 2 + 87 + 0 + 4 = 666.

It is a super-2 number, since 2×1601558728704² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1601558728709) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 171523524 + ... + 171532860.

Almost surely, 2^{1601558728704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1601558728704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2665438421184).

1601558728704 is an abundant number, since it is smaller than the sum of its proper divisors (3729318113664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1601558728704 is an equidigital number, since it uses as much as digits as its factorization.

1601558728704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9431 (or 9400 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 1601558728704 in words is "one trillion, six hundred one billion, five hundred fifty-eight million, seven hundred twenty-eight thousand, seven hundred four".